An application of TQFT to modular representation theory
Representation Theory
2018-05-23 v2 Geometric Topology
Quantum Algebra
Abstract
For p>3 a prime, and g>2 an integer, we use Topological Quantum Field Theory (TQFT) to study a family of p-1 highest weight modules L_p(lambda) for the symplectic group Sp(2g,K) where K is an algebraically closed field of characteristic p. This permits explicit formulae for the dimension and the formal character of L_p(lambda) for these highest weights.
Keywords
Cite
@article{arxiv.1606.09532,
title = {An application of TQFT to modular representation theory},
author = {Patrick M. Gilmer and Gregor Masbaum},
journal= {arXiv preprint arXiv:1606.09532},
year = {2018}
}
Comments
24 pages, 3 figures. v2: Lemma 3.1 and Appendix A added